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Finding the Fourth Proportional to 202,346.71, 279,145.95 and 117,414.56

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Solution

The fourth proportional to 202,346.71, 279,145.95 and 117,414.56 is: 161,978.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,346.71 : 279,145.95 = 117,414.56 : x
  2. Step 2: Convert to fraction form
    202,346.71/279,145.95 = 117,414.56/x
  3. Step 3: Cross multiply
    202,346.71x = 279,145.95 × 117,414.56
  4. Step 4: Simplify right side
    202,346.71x = 32,775,799,152.59
  5. Step 5: Solve for x
    x = 32,775,799,152.59/202,346.71
  6. Step 6: Final answer
    x = 161,978.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.